Related papers: A note on the Tikhonov theorem on an infinite inte…
In this note we generalise a method of Perott to give new proofs that there are infinitely many prime numbers.
Often, when we consider the time evolution of a system, we resort to approximation: Instead of calculating the exact orbit, we divide the time interval in question into uniform segments. Chernoff's results in this direction provide us with…
I expound here in a more detailed way a proof of an important Serini's theorem, which I have already sketched in a previous Note. Two related questions are briefly discussed.
We investigate a conformal-like transformation for which the spacetime interval is invariant.
In this note, we study a certain class of trigonometric series which is important in many problems. An unproved statement in Zygmund's book [5] will be proved and generalized. Further discussions based on this problem will also be made…
This note contains a complete proof of the Abhyankar-Moh-Suzuki theorem (in characteristic zero case).
The validity conditions for the extended Birkhoff theorem in multidimensional gravity with $n$ internal spaces are formulated, with no restriction on space-time dimensionality and signature. Examples of matter sources and geometries for…
In this note a far extension of the Banach fixed point theorem is proved.
This note presents a simple proof of the monotonicity of the invariant distribution of a discrete Markov chain with a finite state space. This answers a question recently raised by David Siegmund.
In this paper, we obtain the Tychonoff uniqueness theorem for the G-heat equation.
Short nonstandard proofs are given for some results about infinite systems of equations in infinitely many variables.
In this note we prove a weighted version of the Khintchine inequalities.
This note is an exposition of the proof of Thom's conjecture by Kronheimer and Mrowka, using the new Seiberg-Witten invariants.
In this article it is proven the existence of integration of indefinite integrals as infinite derivative's series expansion. This also opens a new way to integrate a definite integral.
A brief presentation of basics of the theory of Tchebycheff and Markov systems of functions and its applications to extremal problems for integrals of such functions is given. The results, as well as all the necessary definitions, are…
A possible solution for the problem of non-existence of universal time is given by utilizing Goedel's incompleteness theorem.
We give a new proof of Lucas' Theorem in elementary number theory.
In this note we obtain a new convergence result for the Adomian decomposition method.
In neuroscience, the time elapsed since the last discharge has been used to predict the probability of the next discharge. Such predictions can be improved taking into account the last two discharge times, and possibly more. Such multi-time…
The concept of time as used in various applications and interpretations of quantum theory is briefly reviewed.